72623848 has 32 divisors (see below), whose sum is σ = 150037920. Its totient is φ = 32680000.

The previous prime is 72623839. The next prime is 72623849. The reversal of 72623848 is 84832627.

It is a self number, because there is not a number n which added to its sum of digits gives 72623848.

It is not an unprimeable number, because it can be changed into a prime (72623849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4803 + ... + 12973.

It is an arithmetic number, because the mean of its divisors is an integer number (4688685).

Almost surely, 2^72623848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72623848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75018960).

72623848 is an abundant number, since it is smaller than the sum of its proper divisors (77414072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72623848 is a wasteful number, since it uses less digits than its factorization.

72623848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289 (or 8285 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 72623848 is about 8521.9626847341. The cubic root of 72623848 is about 417.2148444243.

The spelling of 72623848 in words is "seventy-two million, six hundred twenty-three thousand, eight hundred forty-eight".